[引用][C] PREPROJECTIVES Hector A. Merklen M. Auslander and I. Reiten studied in [1], 1972, the situation in which two artin algebras A and Λ'are stably equivalent or …
AHA MODULO - … of the Fourth International Conference on …, 1986 - Springer-Verlag
Artin algebras which are equivalent to a hereditary algebra modulo preprojectives
HA Merklen - Representation Theory I Finite Dimensional Algebras …, 2006 - Springer
… of the preprojective and preinjective modules introduced by … a way of generalizing the
Auslander-Reiten research of 1972 … , the basic properties of preprojective modules which will be …
Auslander-Reiten research of 1972 … , the basic properties of preprojective modules which will be …
Lower bounds for faithful, preinjective modules
L Unger - manuscripta mathematica, 1986 - Springer
… preprojective A-tilting module such that the endomorphismring End T of T coincides with
B. Observe that a non-preprojective A-module is a torsion module … denote the Auslander-Reiten-…
B. Observe that a non-preprojective A-module is a torsion module … denote the Auslander-Reiten-…
Systems of submodules and an isomorphism problem for Auslander-Reiten quivers
M Schmidmeier - Bulletin of the Belgian Mathematical Society …, 2008 - projecteuclid.org
… consider the combinatorial data given by the Auslander-Reiten quiver of the category. The …
list of the indecomposable modules and the structure of the Auslander-Reiten quiver. However…
list of the indecomposable modules and the structure of the Auslander-Reiten quiver. However…
[PDF][PDF] Liftings and weak liftings of modules
M Auslander, S Ding, O Solberg - Journal of Algebra, 1993 - core.ac.uk
… The notion of a weak lifting of a module not only is a natural generalization of the notion of …
module, but we show that notion of weak liftability of a module corresponds to that the module …
module, but we show that notion of weak liftability of a module corresponds to that the module …
[PDF][PDF] Preprojective components for certain algebras
R Bautista, L Salmerón - Journal of Pure and Applied Algebra, 1983 - library.navoiy-uni.uz
… /i-modules, it has been recently recognized that the Auslander-Reiten quiver Qn of /1 is a …
representatives {h the isomorphism classes of indecomposable modules in mod /1. Then Q,l …
representatives {h the isomorphism classes of indecomposable modules in mod /1. Then Q,l …
[引用][C] Infinite radicals in standard Auslander-Reiten components
SP Liu - Journal of Algebra, 1994 - Elsevier
… module in IT,. By abuse of language, we say that X is preprojective if X lies in the TrD-orbit
of a projective module and that X is preinjective if X lies in the DTr-orbit of a injective module. …
of a projective module and that X is preinjective if X lies in the DTr-orbit of a injective module. …
[PDF][PDF] Finite dimensional hereditary algebras of wild representation type
CM Ringel - Mathematische Zeitschrift, 1978 - core.ac.uk
… In this situation, the only known classes of modules are the socalled pre-projective and
the … , then there exists an injective module 1 and an Auslander Reiten sequence AX—+AY(~})I—>…
the … , then there exists an injective module 1 and an Auslander Reiten sequence AX—+AY(~})I—>…
[PDF][PDF] PREPROJECTIVE ALGEBRAS INTERACTING WITH SINGULARITIES, COHEN-MACAULAY MODULES AND WEIGHTED PROJECTIVE SPACES
RO Buchweitz, JA de la Pena, O Iyama, H Lenzing - 2015 - birs.ca
… under proper restrictions the preprojective algebra of R is Morita-equivalent to A. This
allows to study n-regular modules in the sense of higher Auslander-Reiten theory, compare [25]. …
allows to study n-regular modules in the sense of higher Auslander-Reiten theory, compare [25]. …
[PDF][PDF] Generalized standard Auslander-Reiten components without oriented cycles
A Skowroński - 1993 - projecteuclid.org
… (b) There is a hereditary artin algebra ooH and a tilting ooH-module ooT without preprojective
direct summands such that the tilted algebra Boo=ΈnάHoo(Too) is a factor algebra of B …
direct summands such that the tilted algebra Boo=ΈnάHoo(Too) is a factor algebra of B …